# Summation to infinity involving gamma

• February 19th 2010, 06:41 PM
cyt91
Summation to infinity involving gamma
How do I solve this :

1+(gamma)+ (gamma^2)/(2!)+(gamma^3)/3!+....

The Maclaurin series for $f(x) = e^x$ is $\sum_{n=0}^{\infty} \frac{x^n}{n!}$.
We know the series converges to $f(x)$, so your question amounts to recognizing that your series is simply $f(\gamma)$
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